cp's OEIS Frontend

A115370 Decimal expansion of first zero of BesselJ(2,z).

%I A115370 #21 Feb 16 2025 08:33:00
%S A115370 5,1,3,5,6,2,2,3,0,1,8,4,0,6,8,2,5,5,6,3,0,1,4,0,1,6,9,0,1,3,7,7,6,5,
%T A115370 4,5,6,9,7,3,7,7,2,3,4,7,5,0,0,5,5,0,9,4,3,3,5,8,2,5,7,2,5,7,4,5,9,9,
%U A115370 8,1,9,6,6,1,0,7,9,2,8,4,8,7,9,4,2,3,6,8,1,9,7,2,8,7,4,5,0,4,6,2,8,7,8,3,2
%N A115370 Decimal expansion of first zero of BesselJ(2,z).
%C A115370 Also the first root of the sinc(4,x) function, that is, the radial component of the 4D Fourier transform of 4-dimensional unit sphere. Also, the solution of 2J_1(x) = x*J_0(x). - _Stanislav Sykora_, Nov 14 2013
%H A115370 Stanislav Sykora, <a href="http://dx.doi.org/10.3247/SL2Math07.002">K-Space Images of n-Dimensional Spheres and Generalized Sinc Functions</a>.
%H A115370 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BesselFunctionZeros.html">Bessel Function Zeros</a>.
%H A115370 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A115370 5.1356223018406825563...
%t A115370 RealDigits[BesselJZero[2, 1], 10, 100][[1]] (* _Amiram Eldar_, May 18 2021 *)
%o A115370 (PARI) solve(x=5,6,besselj(2,x)) \\ _Charles R Greathouse IV_, Feb 19 2014
%o A115370 (PARI) besseljzero(2) \\ _Charles R Greathouse IV_, Aug 06 2022
%Y A115370 Cf. A115368, A115369, A115371, A115372, A115373.
%K A115370 nonn,cons
%O A115370 1,1
%A A115370 _Eric W. Weisstein_, Jan 21 2006